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Simplifying (6c + -4)(2c) = 0 Reorder the terms: (-4 + 6c)(2c) = 0 Remove parenthesis around (2c) (-4 + 6c) * 2c = 0 Reorder the terms for easier multiplication: 2c(-4 + 6c) = 0 (-4 * 2c + 6c * 2c) = 0 (-8c + 12c2) = 0 Solving -8c + 12c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(-2 + 3c) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(-2 + 3c)' equal to zero and attempt to solve: Simplifying -2 + 3c = 0 Solving -2 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3c = 0 + 2 3c = 0 + 2 Combine like terms: 0 + 2 = 2 3c = 2 Divide each side by '3'. c = 0.6666666667 Simplifying c = 0.6666666667Solution
c = {0, 0.6666666667}
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